On the Axiomatic Theory of Multistate Coherent Structures.

Abstract

Mathematical models for multistate reliability systems of multistate components have been proposed by Barlow and Wu (1978), El Neweihi et al (1978) and Griffiths (1981). Unlike the approach used by Barlow and Wu, the other authors preferred to establish their classes of models through sets of axioms, all extending the early binary notions and all containing as special cases the class of models suggested by Barlow and Wu. Since the Barlow and Wu approach is essentially set theoretic, and since in the other two approaches these models were not characterized among the larger classes, one question that arises is whether these models can be characterized by a set of axioms in the same way as their counterparts. In this paper we do just that and obtain a better understanding of Barlow and Wu models. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1981
Accession Number
ADA109732

Entities

People

  • Flavio Wagner Rodrigues
  • Wagner De Souza Borges

Organizations

  • University of Pittsburgh

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  • Mathematical Models
  • Mathematics
  • Military Research
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  • Observation
  • Operations Research
  • Reliability
  • Statistics
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  • Mathematical Modeling and Probability Theory.
  • Statistical inference.